MATHEMATICS HIGH SCHOOL

Which of the following occurs within the solution process for ∛(5x-2)-∛4x=0A.)squaring both sides once
B.)squaring both sides twice
C.)cubing both sides once
D.)cubing both sides twice

Answers

Answer 1
Answer:

Answer:

cubing both sides once

Step-by-step explanation:

∛(5x-2)-∛4x=0

To solve this equation , we move second term to the other side

Add cube root (4x) on both sides

\sqrt[3]{5x-2} =\sqrt[3]{4x}

Now we remove cube root.

To remove cube root we take cube on both sides because cube and cube root will get cancelled.

(\sqrt[3]{5x-2})^3=(\sqrt[3]{4x})^3

5x-2=4x

So, cubing both sides once
Answer 2
Answer:

Answer:

C

Step-by-step explanation:

rearrangeing:-

∛(5x - 2) = ∛((4x)

Cubing both sides:-

5x - 2 = 4x

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Zhao Xue wants to buy milk and yogurt. She wants to buy a total of at least 6.5 gallons of dairy products (condition A), and she has a budget of $20 (condition B). The graph represents the constraints on the number of gallons of milk M and yogurt Y Zhao Xue buys. Zhao Xue buys 4 gallons of milk. how many gallons of yogurt can she buy to meet both her constraints? A.) Exactly 2.5 gallonsB.) At least 4 gallons and at most 6.5 gallons C.) At least 2.5 gallons and at most 4 gallonsD.) Zhao Xue doesn’t have enough money left to buy any yofurt

Ali wants to buy a piano. the piano measures 19/4 feet long. she has a space 5 feet

Answers

She'll have enough room cause 19/4 needs to be a mixed number, which is 4 3/4 feet.
Hope this helps C=

Which expression forms an equation with the given expression?
8 • 7 - 4 =

Answers

The answer is 52 hopefully this help

Find three ordered pairs for x=9

Answers

Three examples are (9, 1), (9, -5), and (9, 3.2).

Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use. Each key on the student calculators is 14 millimeters wide, and each key on the demonstration calculator is 2.8 centimeters wide. If the student calculators are 252 millimeters tall, how tall is the demonstration calculator?

Answers

The height of the demonstration calculator is 504 millimeters.

To find the height of the demonstration calculator, we can use the ratio of the key widths between the student calculators and the demonstration calculator.

Let's first convert all measurements to the same unit for consistency. Since we need to find the height of the demonstration calculator, let's convert the width of the keys on the demonstration calculator to millimeters, which is the unit used for the height of the student calculator.

1 centimeter (cm) = 10 millimeters (mm)

Width of the key on the demonstration calculator =

= 2.8 cm x 10 mm/cm

= 28 mm

Now, we know the width of each key on the demonstration calculator is 28 millimeters.

We can use this information to find the height of the demonstration calculator.

The ratio of the width of the keys on the demonstration calculator to the width of the keys on the student calculator is:

= 28 mm (demonstration calculator) / 14 mm (student calculator)

Now, let's set up a proportion to find the height of the demonstration calculator (Hd):

Hd (demonstration calculator) / 252 mm (student calculator)

= 28 mm (demonstration calculator) / 14 mm (student calculator)

Hd / 252 = 28 / 14

Hd / 252 = 2

Hd = 2 x 252

Hd = 504 millimeters

So, the height of the demonstration calculator is 504 millimeters.

Learn more about Unit conversion click;

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Final answer:

The height of the large demonstration calculator is 50.4 cm, determined by converting measurements to the same units and using the scale factor between the student and demonstration calculators.

Explanation:

The question involves scale factor and unit conversion in mathematics. The scale factor between the student calculator buttons and the large demonstration calculator buttons is 2.8 cm (button size of large calculator) divided by 1.4 cm (button size of student calculator, which equates to 14 mm). Therefore, the scale factor is 2.

To find the height of the large calculator, we multiple the height of the student's calculator (252 mm or 25.2 cm) by the scale factor 2. Therefore, the height of the large demonstration calculator is 50.4 cm.

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Statement and reasons m<1 +m<2+ m<3=180 whats the reason?

Answers

The correct answer for the question that is being presented above is this one: "the angles of a triangle sum to 180." m<1 +m<2+ m<3=180. The sum of all the angles of a triangle is 180. Since there are 3 angles that form part of a triangle, then the equation m<1 +m<2+ m<3=180  is how it represented it.

What value of x is in the solution set of 9(2x + 1) < 9x – 18?

Answers

To solve these kinds of problems, it is necessary to isolate x:

9(2x + 1) < 9x - 18

Distribute 9:
18x + 9 < 9x - 18

Subtracting 9 from both sides of the equation:
18x + 9 - 9 < 9x - 18 - 9
18x < 9x - 27

Subtracting 9x from both sides of the equation:
18x - 9x < 9x - 27 - 9x
9x < -27

x < -3

Therefore, values of x < -3 will satisfy the given equation.

Answer:

x ∠ -3

Step-by-step explanation:

To solve this inequalities, we have to follow the steps below

open the bracket

collect like term

subtract and then divide both-side so that we can be left with just the variable

9(2x +1) < 9x - 18

opening the bracket, equation becomes;

18x + 9  < 9x - 18

collect like terms, numbers with x variables on the left hand side and number standing alone on the right hand side of the inequality

18x - 9x < -18-9  

9x <  -27

Divide both-side of the equation by 9

9x/9 < -27/9

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